A universal solution to one-dimensional oscillatory integrals

DOI10.1007/s11432-008-0121-2zbMath1155.65024OpenAlexW2071069647MaRDI QIDQ954485

Tao Wang, Jianbing Li, Xue-Song Wang

Publication date: 10 November 2008

Published in: Science in China. Series F (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11432-008-0121-2

zbMATH Keywords

numerical examplesscatteringill-conditioned matrixtruncated singular value decompositionelectromagnetic wave propagationquadrature methodoscillatory integralsChebyshev differential matrixlevin methodlight wave

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (20)

Fast, numerically stable computation of oscillatory integrals with stationary points ⋮ A well-conditioned Levin method for calculation of highly oscillatory integrals and its application ⋮ Meshless procedure for highly oscillatory kernel based one-dimensional Volterra integral equations ⋮ A collocation method for a class of Fredholm integral equations with highly oscillatory kernels ⋮ A comparative study of meshless complex quadrature rules for highly oscillatory integrals ⋮ Meshless methods for multivariate highly oscillatory Fredholm integral equations ⋮ Fast and stable augmented Levin methods for highly oscillatory and singular integrals ⋮ Evaluation of Cauchy principal value integrals of oscillatory kind ⋮ A rapid solution of a kind of 1D Fredholm oscillatory integral equation ⋮ Meshless methods for one-dimensional oscillatory Fredholm integral equations ⋮ Phase function methods for second order inhomogeneous linear ordinary differential equations ⋮ Meshless methods for two-dimensional oscillatory Fredholm integral equations ⋮ Numerical approximation of oscillatory integrals of the linear ship wave theory ⋮ Shifted GMRES for oscillatory integrals ⋮ A sparse fractional Jacobi-Galerkin-Levin quadrature rule for highly oscillatory integrals ⋮ A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels ⋮ Delaminating quadrature method for multi-dimensional highly oscillatory integrals ⋮ Spectral Levin-type methods for calculation of generalized Fourier transforms ⋮ On the rational Levin quadrature for evaluation of highly oscillatory integrals and its application ⋮ Levin methods for highly oscillatory integrals with singularities

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